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Finding the Fourth Proportional to 319,070.80, 478,606.20 and 200,972.80

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Solution

The fourth proportional to 319,070.80, 478,606.20 and 200,972.80 is: 301,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,070.80 : 478,606.20 = 200,972.80 : x
  2. Step 2: Convert to fraction form
    319,070.80/478,606.20 = 200,972.80/x
  3. Step 3: Cross multiply
    319,070.80x = 478,606.20 × 200,972.80
  4. Step 4: Simplify right side
    319,070.80x = 96,186,828,111.36
  5. Step 5: Solve for x
    x = 96,186,828,111.36/319,070.80
  6. Step 6: Final answer
    x = 301,459.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.